The Tanfarid Quantum Thermodynamic Universe (TQTU)- A Complete Plasma-Thermodynamic Resolution of Galactic Rotation Curves Without Dark Matter

Abstract

For more than five decades, the discrepancy between observed galactic rotation velocities and predictions from visible baryonic matter has been attributed to dark-matter halos. No direct detection of a non-baryonic dark-matter particle has been achieved. This paper presents a complete, observationally grounded framework within the Tanfarid Quantum Thermodynamic Universe (TQTU) that eliminates the need for non-baryonic dark matter. Spacetime is treated as an emergent thermodynamic description of an underlying plasma lattice—the Tanfarid Plasma Continuum. The Farid Master Field Equation, ∂μΦμν = κJν, unifies spin-vorticity flux and plasma-thermodynamic entropy transport as the fundamental source of gravitational potential. The TQTU Grand Unified Spin Equation, v²_total(r) = r·∇μΦ_baryonic + r·k_B T ∇S_lattice + B²(r)/4πρ_plasma(r), applied to the full SPARC sample of 175 galaxies shows that flat rotation curves arise naturally from three successive physical regimes: (i) a baryon-dominated inner core, (ii) an entropy-gradient-stabilized intermediate disk, and (iii) an Alfvénic excess-spin boundary where ρ_plasma → 0. Key Results: 91% of galaxies are recovered with residual velocity less than 5% Median residual: 2.8% Detailed fits to NGC 3198 (residual <1%), NGC 2841 (observed 300 km/s recovered as 299.7 km/s), and IC 2574 (exact match at 65 km/s) The reformulated Tanfarid-Toomre parameter satisfies Q_TQTU > 1 throughout galactic disks, demonstrating local stability without dark-matter halos Simultaneously resolves the Bullet Cluster morphology, the CMB third acoustic peak (γ_TQTU = 1.060), and the Hubble tension Keywords: TQTU; galaxies: kinematics and dynamics; galaxies: rotation curves; galaxies: magnetic fields; plasma thermodynamics; dark-matter alternatives; SPARC